中文摘要：

针对目前结合面微观形貌特性对由摩擦和系统结构双重引起的模态耦合系统的稳定性影响的理论研究缺少,尝试从微观角度解释结合面形貌对宏观系统的动态特性影响。基于分形理论建立结合面形貌较为准确的法向、切向接触刚度模型;以车辆制动盘为对象,将所建立的分形接触刚度模型引入其中,建立一个两自由度的典型模态耦合模型;研究了结合面切向与法向的刚度比、摩擦因数和固有频率比对系统稳定和不稳定区的影响,以及系统出现不同频率噪声的条件。研究可知,形貌参数是结合面产生振动噪声的主要影响因素;结合面形貌特性不同,系统产生振动噪声的频率和条件也不同。这些结论有助于更深入地研究结合面形貌特性对宏观系统的影响;同时可为工程设计制造合适结合面形貌提供参考,具有一定的工程意义。

英文摘要：

Aiming at the lack of theoretical research with the surface morphology characteristics affect the stability of modal coupling system by friction and the structure of the system caused. An attempt is to explain the dynamic characteristics of the macroscopic system from the microscopic view. The more accurate model of normal and tangential contact stiffness of surface topography is established based on fractal theory. With the vehicle brake disc as the object, a typical mode coupling model with two degrees of freedom is presented and the fractal contact stiffness model is introduced. The influence of the tangential and normal stiffness ratio, friction coefficient, and the natural frequency ratio on the stability of system and the conditions of the different frequency noise arise are studied. It is concluded that these contact topography parameters are the main factors to influence the vibration noise ; the vibration noise condition and the frequency of the system are different with the different characteristics of the surface topography. The conclusions obtained may help us more deeply understand the influence of the surface topography on the macroscopic system. At the same time, it can provide reference for engineering design and manufacture, and has a certain engineering significance.